A.V. Strukov, V.I. Solovev, G.I. Mirgorodsky
The unpredictability of chaos, mainly due to significant dependence on initial conditions and its structure. Such dependence suggests that even small errors in measuring the parameters of an object can lead to completely wrong predictions.Therefore, the description of the features of the initial conditions of nonlinear dynamic system is aimed at eliminating these errors and the development of mathematical tools are already accounted for these errors. Thus, the possibility of practical application of the results of the P.S. Saltykov, which shows that for hyperbolic maps special choice of metrics on the space of topological entropy can be arbitrarily closely approximated the top product of the entropy dimension and the logarithm of the Lipschitz constant display.